Answer:
Swimming speed in still water is approximately 1.5 mph
Step-by-step explanation:
Given the speed of the current = 1 mph
distance she swims upstream =2 miles,
the total time = 5 hours.
She swam 2 miles upstream against the current and 2 miles back to the dock with the current. The formula that relates distance, time, and rate is
Let x be the speed in still water.
Then her speed with the current is x + 1, and
her speed against the current is x – 1.
Total time is equal to 2 miles with upstream and 2 miles downstream.
Now Using quadratic formula to solve above equation we get;
Since speed must be positive, Hence speed of still water is about 1.5 miles per hour.